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18306848448 = 26337367461
BaseRepresentation
bin10001000011001011…
…000101011011000000
31202020211120020222000
4101003023011123000
5244443023122243
612224323144000
71215442434000
oct210313053300
952224506860
1018306848448
117844814219
12366ab15000
131959988605
14c594a4000
157222bb5d3
hex4432c56c0

18306848448 has 448 divisors, whose sum is σ = 63837312000. Its totient is φ = 5141283840.

The previous prime is 18306848393. The next prime is 18306848471. The reversal of 18306848448 is 84484860381.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18306848394 and 18306848403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39710938 + ... + 39711398.

It is an arithmetic number, because the mean of its divisors is an integer number (142494000).

Almost surely, 218306848448 is an apocalyptic number.

18306848448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18306848448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31918656000).

18306848448 is an abundant number, since it is smaller than the sum of its proper divisors (45530463552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18306848448 is an equidigital number, since it uses as much as digits as its factorization.

18306848448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 18306848448 in words is "eighteen billion, three hundred six million, eight hundred forty-eight thousand, four hundred forty-eight".